N BARIK and R N MISHRA*

* Department of Physics, Dhenkanal College, Dhenkanal 759 001, India

Abstract.

Considering the nucleon as consisting entirely of its valence quarks confined independently in a scalar-vector harmonic potential; unpolarized structure functions F₁(x, m²) and F₂ (x, m²) are derived in the Bjorken limit under certain simplifying assumptions; from which valence quark distribution functions u_v(x, m²) and d_v(x, m²) are appropriately extracted satisfying the normalization constraints. QCD-evolution of these input distributions from a model scale of m² =0.07 GeV²  to a higher Q² scale of Q₀²=15GeV² yields xu_v(x,Q₀²) and xd_v(x,Q₀²) in good agreement with experimental data. The gluon and sea-quark distributions such as G(x,Q₀²) and q_s(x,Q₀²) are dynamically generated with a reasonable qualitative agreement with the available data; using the leading order renormalization group equations with appropriate valence-quark distributions as the input.

Keywords: Scalar-vector harmonic potential model; structure functions; parton distributions; momentum sum rule.

Pacs Nos. 13.60.Hb; 12.39.pn